JEE Main & Advanced Sample Paper JEE Main Sample Paper-32

  • question_answer
    \[{{K}_{\alpha }}\]wavelength emitted by an atom of atomic number \[Z=11\]is \[\lambda \]. Find the atomic number for an atom that emits \[{{K}_{\alpha }}\]radiation with wavelength \[4\lambda \].

    A) \[Z=6\]  

    B)                    \[Z=4\]

    C) \[Z=11\]          

    D)    \[Z=44\]

    Correct Answer: A

    Solution :

    \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}\,=\frac{{{({{Z}_{2}}-1)}^{2}}}{{{({{Z}_{1}}-1)}^{2}}}\,\,\,\,\left[ as\,\frac{1}{\lambda }\propto \,{{(Z-1)}^{2}} \right]\] \[\frac{1}{4}=\,\frac{{{({{Z}_{2}}-1)}^{2}}}{{{(11-1)}^{2}}}\]


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